10742760 has 256 divisors, whose sum is σ = 43200000. Its totient is φ = 2370816.

The previous prime is 10742747. The next prime is 10742783. The reversal of 10742760 is 6724701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370426 + ... + 370454.

It is an arithmetic number, because the mean of its divisors is an integer number (168750).

Almost surely, 2^10742760 is an apocalyptic number.

10742760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600000).

10742760 is an abundant number, since it is smaller than the sum of its proper divisors (32457240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10742760 is a wasteful number, since it uses less digits than its factorization.

10742760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10742760 is about 3277.6149865413. The cubic root of 10742760 is about 220.6506906447.

The spelling of 10742760 in words is "ten million, seven hundred forty-two thousand, seven hundred sixty".